2
votes
1answer
144 views

Quasi-Coherent modules over sheaves of rings (proof question)

Let $X$ be a scheme with structure sheaf $\mathcal O_X$ and let $\mathcal B$ be a quasi-coherent $\mathcal O_X$-algebra. Let $\mathcal F$ be any sheaf of $\mathcal B$-modules. In EGA I, ยง 9, Prop. ...
4
votes
1answer
181 views

Tropical Lifting Lemma (Puiseux Series)

The general result in tropical geometry is $K$ algebraically closed valued field $I$ ideal of $K[x_1, \cdots, x_n]$ $V(I) = \lbrace \bar{a}\in K^n: f(\bar{a})=0 \text{ for all } f \in I \rbrace$. ...